Recently I got a question for a philosophy class on how the following set of statements is consistent: "All dragons love Katy Perry. All dragons hate Katy Perry." And we have to think about how to explain that this is consistent. I'm struggling to understand how to make that explanation.
I don't want to do your assigned coursework for you, so I'll say just this: Think about how modern logic translates "All S is P" and "All S is not P" into symbols.